Scaling and disordered systems: international workshop and collection of articles honoring Professor Antonio Coniglio on the occasion of his 60th birthday

361 Pages·2002·18.26 MB·English

by  Fereydoon Family

FereydoWlt Fami
Mohamed Daoui
-
Han
SCALING AND
DISORDERED SYSTEMS
This page is intentionally left blank
International workshop
and collection of articles honoring
Professor Antonio Coniglio
on the occasion of his 6othB irthday
SCALING AND
DISORDERED SYSTEMS
Editors
Fereydoon Family
Emory University, USA
Mohamed Daoud
Centre &Etude Nucleaire, France
Hans J. Herrmann
ESPCI, France & IGll, Germany
H. Eugene Stanley
Boston University, USA
world Scientific
b
New Jersey. London. Singapore. Hong Kong
Published by
World Scientific Publishing Co. Pte. Ltd.
P 0 Box 128, Farrer Road, Singapore 912805
USA office: Suite lB, 1060 Main Street, River Edge, NJ 07661
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-PublicationD ata
A catalogue record for this book is available from the British Library.
SCALING AND DISORDERED SYSTEMS
Copyright O 2002 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereoJ may not be reproduced in any form or by any means, electronic
or mechanical, including photocopying, recording or any information storage and retrieval system now known
or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center,
Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from
the publisher.
ISBN 981-02-4838-5
Printed in Singapore by Uto-Print
It is a geat pleasure to dedicate this book of articles 61 honor of Professor Antonio Coniglio
can the occasion of 60th Birthday, hAany of the articles me baed 011 research inspired
by his ideas. Antonio 4s a great scientist in the tradition of the truly great; scientrs-ts, His
ability to select just the right questions to pose has led to the remarkably blgh impact sf
his work on many diverse branches of statistical physics. His creative approaches to solving
complex problems cornbines deep physical intuition with matheaatical prowess of the first
rank.
Ant0;aio began his scientific co1zj;ributions in the field of many-body theory, concentrating
on lm temperature properties of superBuid helium. In the early seventies, he began his
studies of critical phenomena and the renormdization group, and de-veloped a generalized
form of scaling1l9" that anticip2Lted muttifractality and multiscding - co~ceptsw liich
played a significant role in a wide variety of fields rnmy years EatersT5
Ris coxlCributfons to scaling in phase transitions and critical phenomena naturally led
to his classic papers on correlated percolation. He was among the first 60 introduce the
concept of correlated percolation,'"which he later used to develop models for the sol-gel
transition,""tG,39i176
Antonio "sn played a central role in the development of the theories of random and
correlated percolation by formulating a general approach for the study of continuum and
correlated percolation based on Meyer cluster exp=sican, enabling the extension of m8ny
results from theory of fluids to perc~p1atlon.l~In~ ~re' laked works, he h a p roven rigorous fn-
equa,lities between thermodynamic quantities and percolation quantities i~ the Ising model.
Pa-hil is has led to the proof that lsing clusters percolate at the Ising critical poi~tin
dimension but not necessa~iyi n higher dirnensi~ns.'~*~'~~'
One sf Ar~to~iom'so st signilicant contributions which has led to important adl~a~eiens
she theory sf percolation is the proof sf il relation betweea pair cc4nneetedness and singly
connected bonds (also called red bofids), In psrticnlzr, he has prolied that one of the
consequences of this relatior: is that the fractal dimension of she si~lglyc onnected boxids In.
the incipiel~ti nfinite clusxer in random percolation is given by the 'thermal sealing exponellt-
Based on these exact results he has made z. major contartbutiont o the characteriza"cion of the
fractal structure of the percolation cluszer by putting or; a firm foundation the "nodes links
and blobs model" for the incipiel~ti nfinite cluster, which is now accepted as "vhe standii,rd
model for percolati~n,"*~"~
As a corollary to the above results, Antonio was able Po prove that the cromover critic4
exponents of the diit~te lsing model and Beisemberg mcidel are related: respectk;.eiy$ to
the fractal dimension ajf the singly connected bonds and the resistnviBy ewpcnem7;.,, This
~roria.c larified and explained the experimental results in diluee ferromagnets and gave a
geometricd b~terpretationo f W+ the esm crossot-er exponents were diEerera"t.33.3"50
In a seminal paper,25 Antonio and Bill Klein proposed a geometrical characterization of
the Ising critical point in terms of new clusters (now known as the CK droplets) which have
the properties of percolating at the Ising critical point with the Ising exponents.25~26~34~3g~104
This classic work is the foundation of the widely used Swendsen-Wang cluster dynamics
algorithm. More recently, this cluster definition has received attention in QCD and also in
explaining cluster fragmentation in nuclear matter.
Another important work of Antonio was the analysis of the fractal structure of the CK
droplets in the q-state Potts model. In this context, he provided exact values in two dimen-
sions for the fractal dimension of the red bonds for any q. In particular for q = 0 he obtained
the fractal dimension of the red bonds in the spanning tree.95 He also related the hyper-
scaling breakdown, with the presence of infinitely many clusters above the uppercritical
dimensi~nality.~~~~~~
Antonio has also made significant contributions to many aspects of the theory of diffusion-
limited aggregation and the theory of multifractality research areas which have been
-
of central importance in understanding aggregation phenomena, disordered systems and
fractals. For example, in collaboration with his colleagues, he was among the first to
have contributed to the development and application of the concepts of multifractality and
multiscaling in diffusion limited aggregation73~79~10a6n~d2 3in Percolation.74~83
Antonio has also made important contributions to the theory of phase separation. With
Zannetti, he provided for the first time an analytical solution for the time-dependent
Ginzburg Landau model, in the limit in which the number of components of the order
parameter goes to infinity.lo3
Antonio and collaborators developed a microscopic "spin-glass" type of model that
elucidates the phase diagram of a class of materials displaying high-temperature super-
cond~ctivity.'T~ his contribution has received great attention in the field of high-temperature
superconductivity and has been widely cited in the literature.
More recently, Antonio has made important contributions to a number of topics re-
lated to glasses and spin glasses.162~163~1H7e5 has also applied these models to granular
material^,^^^^'^^^^^^ by developing with collaborators the frustrated percolation model which
maps exactly the spin glass model into a geometrical model.'14 These models are playing
an important role in describing granular materials and glasses, which are systems of con-
siderable complexity and great current interest.
Antonio is the voice of insight, reason, humor and honesty. Even as impressive as his
contributions to physics are, what usually springs to one's mind is Antonio's great personal-
ity and friendship. The joy of a meeting is always enhanced by his presence and thoughtful
discussions and comments. The fact that all of scientists who came to his Paris meeting,
came from the far corners of the globe without any financial support from the organizers
attests to the honor in which Antonio is held by his colleagues. He is one of the truly highly
respected figures in statistical physics.
Fereydoon Family
Department of Physics, Emory University, Atlanta
Mohamed Daoud
Centre d 'Etude Nucleaire, Saclay, France
Hans J. Herrmann
ESPCI, Paris and ICA I, Stuttgart, Germany
H. Eugene Stanley
Center for Polymer Physics, Boston University, Boston
This page is intentionally left blank
Professor Antonio Coniglio
ANTONIO CONIGLIO: Curriculum Vitae
Name: Antonio Coniglio
Born: 5 April 1940
Education:
- Laurea in Physics, cum laude (110/110) Naples University, November 1962
- Diploma Scuola di Perfesionamento, Naples University, November 1965
Employment:
(1) Chaired Professorship in Statistical Mechanics, 1980 - Present
- Research Professor of Physics, Center for Polymer Studies, Boston University,
1981 - Present
- [Visiting Professor, Ecole Superieure de Physique et Chimie Industrielles, Paris,
September-October 1992, September 1996, October 1997, January 19981
- [Visiting Professor, Service de Physique Theorique, C.E.N. Saclay, September 19891
- [Visiting Professor, Laboratoire Leon Brillouin C.E.N. Saclay, May 1980,
April-July 19881
- [Visiting Professor, Centro Brasilero de Pesquisas Fisicas, January-February 1985,
January 19871
- [Visiting Professor, St. Francis Xavier University, Antigonish, Nova Scotia, Canada,
March 1985, James Chair Professor, March-April 19871
- Professore Incaricato Stabilizzato, 1974-1980, Naples University
- [Visiting Assistant Professor of Physics, Center for Polymer Studies, Boston Univer-
sity, sabbatical leave, 1977-19791
- Professore Incaricato, 1971-1974, Naples University
- [Visiting Research Professor, King's College, London, November 1973-January 19741
- [Awarded the title LLLiberDa ocenza," 19721
(2) Researcher at King's College, London, 1970-1971
(3) Professore Incaricato, 1966-1968, 1969-1970
(4) Research Assistant, 1965-1966
Publicati ons
1. A. Coniglio, M. Marinaro and M. Maturi, "Stability Conditions for a Boson System
Interacting with a Partly Repulsive and Partly Attractive Potential," Nuovo Cimento
40, 184 (1965).
2. A. Coniglio and M. Marinaro, "On Condensation for an Interacting Boson System,"
Nuovo Cimento 48, 249 (1967).
3. A. Coniglio and M. Marinaro, "Breakdown of Symmetry and Gapless Spectrum in
Many-Boson Systems," Nuovo Cimento 48, 262 (1967).
4. A. Coniglio, Marinaro and B. Preziosi, "Phase Transition Between Partially Condensed
Homogeneous and Periodic Systems," Nuovo Cimento 61, 25 (1969).
5. A. Coniglio, M. Marinaro and B. Preziosi, "On the Coexistence of Single and Two
Particle Condensation in an Interacting Boson Gas," NUOVOC imento 63, 227 (1969).
6. A. Coniglio and R. Vasudevan, "Generalized Condensation of an Interacting Bose Gas
with Pair Hamiltonian," Nuovo Cimento 70B,3 9 (1970).